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Finding the Fourth Proportional to 106,523.64, 159,785.25 and 62,119.25

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Solution

The fourth proportional to 106,523.64, 159,785.25 and 62,119.25 is: 93,178.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,523.64 : 159,785.25 = 62,119.25 : x
  2. Step 2: Convert to fraction form
    106,523.64/159,785.25 = 62,119.25/x
  3. Step 3: Cross multiply
    106,523.64x = 159,785.25 × 62,119.25
  4. Step 4: Simplify right side
    106,523.64x = 9,925,739,891.06
  5. Step 5: Solve for x
    x = 9,925,739,891.06/106,523.64
  6. Step 6: Final answer
    x = 93,178.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.